Question

A single die is rolled twice. Find the probability of rolling a 2 the first time and a 1 the second time.

Answer 1

Hello!

When we roll a dice, we can get six different possibilities, that are:

{1, 2, 3, 4, 5, 6}.

Knowing it, let's answer your question:

Find the probability of rolling a 2 the first time and a 1 the second time.

First, let's calculate the probability of rolling 2 the first time:

`\frac{\text{possibility that we want}}{\text{ total of possibilities}}=(1)/(6)`

Note: there's only one chance in six to obtain 2 when we roll a dice.

Now, the probability to obtain 1 the second time:

As I mentioned, there's only one chance to the